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3 years ago

Could you please help me to solve this query??

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

Answer:

Show me problem

Step-by-step explanation:

I need a problem to solve it

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Rebecca but one goldfish for $32 and one starfish for $12 . She spends the rest of her money on guppy fish. She starts with $80.

Romashka-Z-Leto [24]

She can buy 5more guppies because she spent $50 in total because 32+12+6= 50 dollars.So she has $30 dollars left $6 per guppy × 5 guppies = $30 so she can buy 5 more

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3 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

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3 years ago

Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4

Margarita [4]

You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5

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Which number sentence is true? 8 – 4= 11 – 8 13 – 6 = 6-1 6 – 5 = 7 – 6 Done

Anton [14]

Answer:

6-5 = 7-6

Step-by-step explanation:

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Fofino [41]

Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger

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